학술논문
Gabor transform and continuous wavelet transform for model pulsed signals.
Document Type
Article
Author
Source
Subject
*GABOR transforms
*WAVELET transforms
*SIGNAL processing
*SUPERPOSITION principle (Physics)
*AMPLITUDE modulation
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Language
ISSN
1063-7842
Abstract
A model of a pulsed signal in the form of a superposition of elementary nonstationary signals is considered. The parameters of such a superposition are chosen so that signal amplitude A( t) strongly varies with time. For such a signal, the analytic expression for the Gabor transform (GT) and continuous wavelet transform (CWT) using the mother Morlet wavelet are analyzed. A criterion is proposed for the matched behaviors of GT and CWT with signal amplitude A( t). The advantages of the CWT adaptively selecting the window size over the GT whose explicit form depends on the window size are demonstrated. The proposed method can be used for analysis of many transient stages of time-dependent signals in various branches of physics. [ABSTRACT FROM AUTHOR]